About this topic
Before you begin
Connect fractions, mixed numbers and decimals, explain fraction products, and use labelled bar models to solve quantity relationships.
Learning goals
- Express a whole-number quotient as a fraction
- Express a general fraction as a decimal
- Add and subtract mixed-number amounts
- Multiply a proper fraction by a whole number
- Multiply an improper fraction by a whole number
- Multiply two proper fractions
- Multiply a proper and an improper fraction
- Multiply two improper fractions
- Multiply a mixed number by a whole number
Syllabus statements covered
- Dividing a whole number by a whole number with quotient as a fraction
- Expressing fractions as decimals
- Adding and subtracting mixed numbers
- Multiplying a proper/improper fraction and a whole number without calculator
- Multiplying a proper fraction and a proper/ improper fractions without calculator
- Multiplying two improper fractions
- Multiplying a mixed number and a whole number
Choose a lesson
Work through them in order.
- Not startedThe unit and equivalent fractionsNextMake the chosen whole and equal unit explicit before comparing fraction representations.
- Not startedDivision, fractions and decimalsNextRepresent a quotient as a fraction and use equivalent fractions or division for its decimal value.
- Not startedAdd and subtract mixed numbersNextKeep the whole unit and part size consistent when combining or exchanging mixed numbers.
- Not startedMultiply fractions as parts of partsNextUse equal partitions to explain fraction multiplication before calculating.
- Not startedFraction products beyond one wholeNextConvert complete mixed-number amounts before scaling and check products of improper fractions.
- Not startedOperate with fraction unitsNextAdd, subtract and multiply fractions using equal units, then check the size of the result.
- Not startedFraction relationships in bar modelsNextRepresent known and unknown quantities with a labelled bar model, then interpret and check the result.